3.1.- Estimation of specific consumption and production rates
The methodology followed to calculate the specific consumption and
production rates for the metabolites analyzes is detailed in
MartÃnez-Monge et al. (2019a).
The specific productivity (qp) for the cells in the
process was calculated using the integral of viable cells (ICV) and the
product concentration between the first and the last point as presented
in Equation 1 . ICV was calculated using the trapezoidal rule
with the function trapz included in Matlab 2019a (Mathworks).
\begin{equation}
q_{P}=\frac{{[Product]}_{\text{final}}}{\text{ICV\ }}\ \ \ \ \ [1]\nonumber \\
\end{equation}For the volumetric productivity (VP), the final product
concentration and the total process time was used as shown inEquation 2 .
\begin{equation}
V_{P}=\frac{{[Product]}_{\text{final}}}{t_{\text{total}}}\ \ \ \ \ [2]\nonumber \\
\end{equation}